You are a member of a fund raising committee for your school. The committee is sponsoring a fair. Each member of the committee has agreed to sell 50 tickets to the fair. Student tickets are $3 each and adult tickets are $5 each. Use an expression to determine how much money you will raise if you sell all 50 tickets and 28 of those are student tickets.

50 - 28 = 22

(28 * 3) + (22 * 5) = ?

194

You are a member of the fund-raising committee for your

school. The committee is sponsoring a fair. Each member
of the committee has agreed to sell 50 tickets to the
fair. Student tickets are $3 each and adult tickets are
$5 each. Let t represent the number of student tickets
that you sell. Write a simplified expression in terms of
t for the total amount of money you raise for selling all
50 tickets.

To determine the amount of money you will raise by selling all the tickets, you need to multiply the number of student tickets by the price of a student ticket and the number of adult tickets by the price of an adult ticket, and then add those two amounts together.

First, calculate the amount raised from selling student tickets:
Number of student tickets sold: 28
Price of a student ticket: $3
Amount raised from selling student tickets: 28 x $3

Next, calculate the amount raised from selling adult tickets:
Number of adult tickets sold: (Total - Number of student tickets sold) = (50 - 28) = 22
Price of an adult ticket: $5
Amount raised from selling adult tickets: 22 x $5

Finally, add these two amounts together to determine the total money raised:
Total money raised = Amount raised from selling student tickets + Amount raised from selling adult tickets

Putting it all together, the expression to determine the amount of money you will raise is:
Total money raised = (Number of student tickets sold x Price of a student ticket) + (Number of adult tickets sold x Price of an adult ticket)

Substituting the values, the expression becomes:
Total money raised = (28 x $3) + (22 x $5)